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0 votes
1 answer
50 views

formalization: definite description (narrow reading)

I am not sure which formalization is right [1] or [2]: 'The teacher of Plato does not exist.' [1] ∃x(Tx,p ∧ ∀y[Ty,p → y=x] ∧ ¬∃y[y = x]) [2] ∃x(Tx,p ∧ ∀y[Ty,p → y=x] ∧ ¬∃z[z = x]) Is it possible to ...
Gion's user avatar
  • 3
10 votes
7 answers
3k views

What did Russell mean when he wrote that the null-class, the class having no members, did not exist?

I am not quite sure I interpret the following sentence correctly in Bertrand Russell's paper on existential import: and among classes there is just one which does not exist, namely, the class having ...
Speakpigeon's user avatar
  • 8,363
0 votes
2 answers
67 views

How do I symbolise this statement with a definite description in first order logic?

"If there is exactly one present King of France, then the present King of France is a present King of France" The part I am confused about is the consequent of the conditional which equals ...
Quasar Slayer's user avatar
2 votes
2 answers
152 views

Truth Value of Definite Descriptions

I'm currently studying definite descriptions in logic. My textbook postulates Bertrand Russell's view of definite descriptions, but I'm curious about other views as well (in the context of classical 2-...
N. Bar's user avatar
  • 317
1 vote
0 answers
56 views

How did Fitch's opposition to the Russell-Whitehead theory of types turn out since the 1950's?

In a footnote to Appendix C of Frederic Fitch's Symbolic Logic (page 217), Fitch writes about his article, "Self-Reference in Philosophy": It is reprinted here in order to indicate more fully my ...
Frank Hubeny's user avatar
  • 19.5k